𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A sharpening of Fisher's inequality

✍ Scribed by Peter Frankl; Zoltán Füredi


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
261 KB
Volume
90
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


on v points and b lines the number of intersecting line-pairs is at least (z). This clearly implies b 2 v.


📜 SIMILAR VOLUMES


Sharpening Hölder′s Inequality
✍ S. Abramovich; B. Mond; J.E. Pecaric 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 103 KB
A Generalization of Fisher's Inequality
✍ Hunter S. Snevily 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 97 KB

In this paper we are concerned with the following conjecture. Conjecture: Let L be a collection of k positive integers and In particular, we show this conjecture is true when L consists of k consecutive positive integers. This generalizes a well-known inequality of Fisher's. Our proof simplifies an

A Note on Fisher's Inequality
✍ Douglas R. Woodall 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 226 KB

A new proof is given of the nonuniform version of Fisher's inequality, first proved by Majumdar. The proof is ``elementary,'' in the sense of being purely combinatorial and not using ideas from linear algebra. However, no nonalgebraic proof of the n-dimensional analogue of this result (Theorem 3 her

A short proof of fisher's inequality
✍ Renaud Palisse 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 71 KB

Nous donnons ici une dtmonstration nouvelle, trts courte, de I'iGgaliti de Fisher, qui gCntralise un rCsultat bien connu de de Bruijn et ErdGs. Cette dtmonstration utilise essentiellement une id&e de Tverberg (1982) pour dt-montrer un autre tnonct combinatoire. We prove the following result.